On geometrical interpretation of thep-adic Maslov index |
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Authors: | E. I. Zelenov |
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Affiliation: | (1) Steklov Mathematical Institute, Vavilov Str. 42, GSP-1, 117966 Moscow, Russia |
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Abstract: | A set of selfdual lattices in a two-dimensionalp-adic symplectic space is provided by an integer valued metricd. A realization of the metric space (,d) as a graph is suggested and this graph has been linked to the Bruhat-Tits tree. An action of symplectic group on a set of cycles of length three of the graph is considered and a geometrical interpretation of thep-adic Maslov index is given in terms of this action. |
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